Separation of variables bases for integrable $gl_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
Separation of variables bases for integrable $gl_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
We construct quantum Separation of Variables (SoV) bases for both the fundamental inhomogeneous % gl_{\mathcal{M}|\mathcal{N}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:msub><mml:mi>l</mml:mi><mml:mrow><mml:mstyle mathvariant="script"><mml:mi>ℳ</mml:mi></mml:mstyle><mml:mo stretchy="false" form="prefix">|</mml:mo><mml:mstyle mathvariant="script"><mml:mi>𝒩</mml:mi></mml:mstyle></mml:mrow></mml:msub></mml:mrow></mml:math> supersymmetric integrable models and for the inhomogeneous Hubbard model both defined with quasi-periodic twisted boundary conditions given by twist matrices having simple spectrum. The SoV bases are obtained …